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Finding the Fourth Proportional to 203,790, 281,256.12 and 114,366

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Solution

The fourth proportional to 203,790, 281,256.12 and 114,366 is: 157,839.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,790 : 281,256.12 = 114,366 : x
  2. Step 2: Convert to fraction form
    203,790/281,256.12 = 114,366/x
  3. Step 3: Cross multiply
    203,790x = 281,256.12 × 114,366
  4. Step 4: Simplify right side
    203,790x = 32,166,137,419.92
  5. Step 5: Solve for x
    x = 32,166,137,419.92/203,790
  6. Step 6: Final answer
    x = 157,839.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.